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STEWART, J. (1991). Calculus, Early Transcendentals. Brooks/Cole, Pacific Grove.

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Simulating Constrained Animal Motion Using Stochastic.. - Brillinger   (Correct)

....field F is #H. IfthereexistsanH such that F = #H then the field F is called conservative.WritingF = Fx,F y ) a necessary condition for F to be conservative is #y Fx = #x Fy (1) If the domain is simply connected, this is also also su#cient and one has H(x, y) x,y) a,b) F dr see [29]. The here indicates a line integral. But, does an H exist One may use (1) as a check. The Starkey Reserve is not simply connected, see the blobs in Figure 3. Ignoring this, the scientists said that the fences around the blobs had fallen down) one data analysis, 6] did not rule out the ....

STEWART, J. (1991). Calculus, Early Transcendentals. Brooks/Cole, Pacific Grove.


On Creating a Student Model to Assess Effective Exploratory.. - Bunt (2001)   (Correct)

....system. A secondary and complementary goal was to develop an environment that allows student to explore the phenomena associated with mathematical functions in a highly graphical manner. The style and content of the material being presented in ACE is based loosely on Stewart s precalculus textbook [41]. Figure 3.1 illustrates ACE s four modules: the GUI, the Coach, the Student Model and the Knowledge Base. Arrows in the diagram represent the flow of information between the modules. The GUI dispenses information to the Coach and Student Model related to the learner s actions in the environment ....

J. Stewart. Single Vaiable, Early Transcendentals. Brooks/Cole, Pacific Grove, 3rd edition, 1995.


The Use Of Potential Functions In Modelling Animal Movement - Brillinger, Preisler.. (2001)   (Correct)

....F, may be given and the question arises whether there exists 5 a real valued function H, such that F = rH. When it does the field is called conservative. Such a field then has the property that line integrals Z C F Delta dr depend only on the initial and terminal points of the curve C, see [26], and Delta refers to the fact that a line integral is involved. In this case the function H may be obtained from its partial derivatives, F = H x ; H y ) 25, 26] Specifically for motion in an open connected region the potential function may be obtained, up to an additive constant, as H(x; ....

....field then has the property that line integrals Z C F Delta dr depend only on the initial and terminal points of the curve C, see [26] and Delta refers to the fact that a line integral is involved. In this case the function H may be obtained from its partial derivatives, F = H x ; H y ) [25, 26]. Specifically for motion in an open connected region the potential function may be obtained, up to an additive constant, as H(x; y) Z (x;y) a;b) F Delta dr (2:2) where (a; b) is a point in the region. When a potential function exists, the path of the line integral taken from the starting ....

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Stewart, J. (1991). Calculus, Early Transcendentals. Brooks/Cole, Pacific Grove.


A Course in Scientific Modeling and Simulation - Azadegan, O'Leary   (Correct)

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Stewart, J. Calculus. Early Transcendentals, fourth edition, Brooks/Cole 1999.

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